Question
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters
Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Answers
GPT-4o mini
To find the correct scale drawing of the playground with the new scale of 1 box = 20 meters, we first need to convert the dimensions of the original rectangle.
The original rectangle is 8 units long and 4 units wide (using the scale of 1 box = 5 meters). We can find the actual dimensions in meters:
- Length: 8 units * 5 meters/unit = 40 meters
- Width: 4 units * 5 meters/unit = 20 meters
Now, using the new scale of 1 box = 20 meters, we need to determine the dimensions of the rectangle in the new scaled drawing:
- Length: 40 meters / 20 meters/unit = 2 units
- Width: 20 meters / 20 meters/unit = 1 unit
Thus, the new rectangle should be 2 units long and 1 unit wide in the drawing with the scale of 1 box = 20 meters.
Looking at the provided response options, the correct drawing showing the new scale of 2 units long and 1 unit wide is:
**A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.**
The original rectangle is 8 units long and 4 units wide (using the scale of 1 box = 5 meters). We can find the actual dimensions in meters:
- Length: 8 units * 5 meters/unit = 40 meters
- Width: 4 units * 5 meters/unit = 20 meters
Now, using the new scale of 1 box = 20 meters, we need to determine the dimensions of the rectangle in the new scaled drawing:
- Length: 40 meters / 20 meters/unit = 2 units
- Width: 20 meters / 20 meters/unit = 1 unit
Thus, the new rectangle should be 2 units long and 1 unit wide in the drawing with the scale of 1 box = 20 meters.
Looking at the provided response options, the correct drawing showing the new scale of 2 units long and 1 unit wide is:
**A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters.**